return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C3H4N2 (4H-Imidazole)

using model chemistry: HF/CEP-121G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at HF/CEP-121G*
 hartrees
Energy at 0K-38.130621
Energy at 298.15K-38.136759
HF Energy-38.130621
Nuclear repulsion energy83.876485
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at HF/CEP-121G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A' 3400 3072 23.19      
2 A' 3370 3044 19.68      
3 A' 3216 2905 14.77      
4 A' 1836 1659 87.03      
5 A' 1734 1566 36.85      
6 A' 1572 1420 6.97      
7 A' 1457 1316 27.84      
8 A' 1440 1301 31.47      
9 A' 1391 1256 5.46      
10 A' 1123 1014 86.63      
11 A' 1092 986 18.61      
12 A' 1000 904 1.47      
13 A' 949 858 2.25      
14 A' 934 843 12.81      
15 A" 3256 2942 16.06      
16 A" 1282 1158 0.22      
17 A" 1130 1021 16.63      
18 A" 1080 976 0.35      
19 A" 840 759 2.80      
20 A" 602 544 32.57      
21 A" 395 357 4.33      

Unscaled Zero Point Vibrational Energy (zpe) 16548.5 cm-1
Scaled (by 0.9034) Zero Point Vibrational Energy (zpe) 14949.9 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at HF/CEP-121G*
ABC
0.32390 0.29511 0.15895

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/CEP-121G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.194 0.344 0.000
C2 0.000 1.131 0.000
N3 1.103 0.513 0.000
C4 0.744 -0.897 0.000
C5 -0.766 -0.851 0.000
H6 -0.085 2.204 0.000
H7 1.142 -1.400 0.878
H8 1.142 -1.400 -0.878
H9 -1.427 -1.703 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42982.30292.30161.26952.16513.04493.04492.0601
C21.42981.26372.15972.12411.07632.91212.91213.1721
N32.30291.26371.45482.31302.06572.10572.10573.3624
C42.30162.15971.45481.51043.20931.08771.08772.3152
C51.26952.12412.31301.51043.12922.17062.17061.0782
H62.16511.07632.06573.20933.12923.90683.90684.1302
H73.04492.91212.10571.08772.17063.90681.75672.7310
H83.04492.91212.10571.08772.17063.90681.75672.7310
H92.06013.17213.36242.31521.07824.13022.73102.7310

picture of 4H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N3 117.387 N1 C2 H6 118.848
N1 C5 C4 111.480 N1 C5 H9 122.474
C2 N1 C5 103.634 C2 N3 C4 104.984
N3 C2 H6 123.765 N3 C4 C5 102.515
N3 C4 H7 111.003 N3 C4 H8 111.003
C4 C5 H9 126.046 C5 C4 H7 112.309
C5 C4 H8 112.309 H7 C4 H8 107.714
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/CEP-121G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.146      
2 C -0.137      
3 N -0.134      
4 C -0.299      
5 C -0.105      
6 H 0.201      
7 H 0.201      
8 H 0.201      
9 H 0.218      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.165 -2.252 0.000 2.258
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.104 -0.622 0.000
y -0.622 -23.476 0.000
z 0.000 0.000 -29.078
Traceless
 xyz
x -9.827 -0.622 0.000
y -0.622 9.115 0.000
z 0.000 0.000 0.712
Polar
3z2-r21.425
x2-y2-12.628
xy-0.622
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.146 -0.508 0.000
y -0.508 7.280 0.000
z 0.000 0.000 4.002


<r2> (average value of r2) Å2
<r2> 67.228
(<r2>)1/2 8.199